# Difference between revisions of "ApCoCoA:CharP.GBasisF2"

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+ | This command computes a Groebner basis in the field <formula> \mathbb{F}_{2} = (/mathbb{Z}_{\setminus(2)} </formula>. It uses the ApCoCoA Server and the ApCoCoALib's class [[ApCoCoALib:RingF2|RingF2]]. | ||

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+ | The command's input is a an Ideal in a Ring over Z, where the elements 0,..., 1 represent the field's elements. Details on this representation can be found [[ApCoCoA:Representation_of_finite_fields|here]]. | ||

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## Revision as of 13:27, 14 March 2008

## Char2.GBasisF2

computing a gbasis of a given ideal in <formula>\mathbb{F}_{2}</formula>

### Syntax

$char2.GBasisF2(Ideal):List

### Description

This command computes a Groebner basis in the field <formula> \mathbb{F}_{2} = (/mathbb{Z}_{\setminus(2)} </formula>. It uses the ApCoCoA Server and the ApCoCoALib's class RingF2.

The command's input is a an Ideal in a Ring over Z, where the elements 0,..., 1 represent the field's elements. Details on this representation can be found here.

### See also

ApCoCoA:char2.GBasisModSquares